91Ó°ÊÓ

Find the \(x\) - and \(y\) -components of the given vectors by use of the trigonometric functions. The magnitude is shown first, followed by the direction as an angle in standard position. $$9.040 \mathrm{ft} / \mathrm{s}^{2}, \theta=270.0^{\circ}$$

In Exercises \(15-30,\) add the given vectors by using the trigonometric functions and the Pythagorean theorem. $$\begin{aligned} &F=154, \theta_{F}=90.0^{\circ}\\\ &T=128, \theta_{T}=43.0^{\circ} \end{aligned}$$

Add the given vectors by using the trigonometric functions and the Pythagorean theorem. $$\begin{aligned} &F=154, \theta_{F}=90.0^{\circ}\\\ &T=128, \theta_{T}=43.0^{\circ} \end{aligned}$$

Solve the triangles with the given parts. $$b=283.2, B=13.79^{\circ}, C=103.62^{\circ}$$

Solve the given problems. In an accident, a truck with momentum (a vector quantity) of \(22,100 \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}\) strikes a car with momentum of \(17,800 \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}\) from the rear. The angle between their directions of motion is 25.0^. What is the resultant momentum?

Solve the triangles with the given parts. $$a=49.32, b=54.55, B=114.36^{\circ}$$

Find the \(x\) - and \(y\) -components of the given vectors by use of the trigonometric functions. The magnitude is shown first, followed by the direction as an angle in standard position. \(16.4 \mathrm{cm} / \mathrm{s}^{2}, \theta=156.5^{\circ}\)

Draw the given vectors and find their sum graphically. The magnitude is shown first, followed by the direction as an angle in standard position. $$2.3 \mathrm{cm}, 45^{\circ} ; 5.2 \mathrm{cm}, 120^{\circ}$$

Find the \(x\) - and \(y\) -components of the given vectors by use of the trigonometric functions. The magnitude is shown first, followed by the direction as an angle in standard position. \(2.65 \mathrm{mN}, \theta=197.3^{\circ}\)

Solve the triangles with the given parts. $$a=0.4937, b=0.5956, c=0.6398$$